Question

A rectangular swimming pool is 20m wide and 41m long. Calculate the length of a diagonal in metres to 1 decimal place

Answer 1

Ответ: 45.44 meters.

Пошаговое объяснение:

To calculate the length of the diagonal in a rectangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the width of the rectangle is 20m and the length is 41m. So, to calculate the diagonal:

(diagonal)² = (20m)² + (41m)²

diagonal = √(20² + 41²)

diagonal = √(400 + 1681)

diagonal = √2081

diagonal ≈ 45.44m (to 1 decimal place)

So, the length of the diagonal in the rectangular swimming pool is 45.44 meters.

Answer 2

To calculate the length of the diagonal of a rectangular swimming pool, you can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.

In this case, the width and length of the pool form the two sides of the right-angled triangle. Let's label the width as side "a" and the length as side "b."

Using the Pythagorean theorem, we have:

diagonal^2 = width^2 + length^2

diagonal^2 = (20m)^2 + (41m)^2

diagonal^2 = 400m^2 + 1681m^2

diagonal^2 = 2081m^2

To find the diagonal, we take the square root of both sides:

diagonal = √(2081m^2)

Calculating the square root:

diagonal ≈ 45.65m

Rounding to one decimal place, the length of the diagonal of the rectangular swimming pool is approximately 45.6 meters.